Given a discrete time signal x(n), we consider the function
(assuming this is convergent for our signal x(n)). Please
show
that H(w) is a periodic function in w, and without any other
assumption, please tell me what the period is. Then, explain that
if we
are given H(w), how to recover x(n). (Notice that we defined
H(w)
above by a linear mapping of x(n), so this means to find the
inverse
linear mapping of H(w) that will give you x(n).)
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Given a discrete time signal x(n), we consider the function (assuming this is convergent for our signal x(n)). Please s...
1.Given a discrete-time signal defined as and the values at other instants equal zero. a) y(n)-x(...
1.Given a discrete-time signal defined as and the values at other instants equal zero. a) y(n)-x(2-n (b) y(n) x(3n-4) (c) y(n)-x(n) Sketch each of the following:
1.Given a discrete-time signal defined as and the values at other instants equal zero. a) y(n)-x(2-n (b) y(n) x(3n-4) (c) y(n)-x(n) Sketch each of the following:
2. (a) For each sample of a discrete time signal x[n] as input, a system S...
2. (a) For each sample of a discrete time signal x[n] as input, a system S outputs the value y[n- . Determine whether the system S is i. linear ii. time-invariant 1ll. causal iv. stable Each of your answers should be supported by justification. In other words, show your reasoning (b) Consider a stable linear time-invariant (LTI) system with transfer function H(z). It is required to design a LTI compensator system G(z) that is in cascade with H(z) such that...
Consider the discrete-time periodic signal n- 2 (a) Determine the Discrete-Time Fourier Series (DTFS) coefficients ak...
Consider the discrete-time periodic signal n- 2 (a) Determine the Discrete-Time Fourier Series (DTFS) coefficients ak of X[n]. (b) Suppose that x[n] is the input to a discrete-time LTI system with impulse response hnuln - ]. Determine the Fourier series coefficients of the output yn. Hint: Recall that ejIn s an eigenfunction of an LTI system and that the response of the system to it is H(Q)ejfhn, where H(Q)-? h[n]e-jin
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform ...
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First write the x[n] showed above as two pulse functions then take the DTFT using the equation given below Express discrete Fourier transform (DFT) of x[n] using DTFT X(Q). a. b.
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First...
Consider the discrete-time signal given below. Ş ()", n20 X = 0 n < 0 where...
Consider the discrete-time signal given below. Ş ()", n20 X = 0 n < 0 where a=8. Find the average power Poo
Exercise 4 Given the periodic discrete signal with period No = 10, defined by: x(n) =...
Exercise 4 Given the periodic discrete signal with period No = 10, defined by: x(n) = si for - 25 ns +2 lo for + 3 sn s +7 Show that cx = + cos(k!) + cos(k), k = 0,1...,9. a) Clearly show how you get to this result! b) Given that cos(") = }(V5+1), cos(9= :(V5 - 1), cos(9) = -(V5 – 1) and cos(99) = -(V5+1), calculate Co. MacBook Pro
Hello, I'm taking signal systems course. please solve this question in matlab as soon as possbile please. Question 1 a) Write a function that calculates the Continuous Time Fourier Transform o...
Hello, I'm taking signal systems course. please solve this
question in matlab as soon as possbile please.
Question 1 a) Write a function that calculates the Continuous Time Fourier Transform of a periodic signal x() Syntax: [w, X] = CTFT(t, x) The outputs to the function are: w = the frequencies in rad/s, and X = the continuous Fourier transform of the signal The inputs to the function are: x-one period of the signal x(t), andt the time vector The...
(5%) The following signals r t) is sanpled periodically to obtained the discrete-time signal [n. ...
Please explain why. Thank you.
(5%) The following signals r t) is sanpled periodically to obtained the discrete-time signal [n. For each of the given sampling rates in F, Hz or in T period, (i) determine the spectrum x(eM) of x[n]; (ii) plot its magnitude and phase as a function of w in and as a function of sampling frequency Fs in HZ; and (iii explain whether e(t) can be recovered from rn] (a) re(t) 8 +12e-3207e-j0(+), with sampling rate...
Find the discrete-time Fourier transform of the signal x[n] given below. Is – uļng-u= [u]a
Find the discrete-time Fourier transform of the signal x[n]
given below.
Is – uļng-u= [u]a
Please solve using the Discrete-Time Fourier Transform: Given a filter described by the difference equation y[n]...
Please solve using the Discrete-Time Fourier Transform: Given a filter described by the difference equation y[n] = x[n] + 2x[n - 1] + x[n - 3] where x[n] is the input signal and y[n] is the output signal. a) Find H[n] the impulse response of the filter. b) Plot the impulse response c) Find the value of H( Ω) for the following values of Ω = 0, pi, pi/2, and pi/4
1.Given a discrete-time signal defined as and the values at other instants equal zero. a) y(n)-x(2-n (b) y(n) x(3n-4) (c) y(n)-x(n) Sketch each of the following:
1.Given a discrete-time signal defined as and the values at other instants equal zero. a) y(n)-x(2-n (b) y(n) x(3n-4) (c) y(n)-x(n) Sketch each of the following:
2. (a) For each sample of a discrete time signal x[n] as input, a system S outputs the value y[n- . Determine whether the system S is i. linear ii. time-invariant 1ll. causal iv. stable Each of your answers should be supported by justification. In other words, show your reasoning (b) Consider a stable linear time-invariant (LTI) system with transfer function H(z). It is required to design a LTI compensator system G(z) that is in cascade with H(z) such that...
Consider the discrete-time periodic signal n- 2 (a) Determine the Discrete-Time Fourier Series (DTFS) coefficients ak of X[n]. (b) Suppose that x[n] is the input to a discrete-time LTI system with impulse response hnuln - ]. Determine the Fourier series coefficients of the output yn. Hint: Recall that ejIn s an eigenfunction of an LTI system and that the response of the system to it is H(Q)ejfhn, where H(Q)-? h[n]e-jin
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First write the x[n] showed above as two pulse functions then take the DTFT using the equation given below Express discrete Fourier transform (DFT) of x[n] using DTFT X(Q). a. b.
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First...
Consider the discrete-time signal given below. Ş ()", n20 X = 0 n < 0 where a=8. Find the average power Poo
Exercise 4 Given the periodic discrete signal with period No = 10, defined by: x(n) = si for - 25 ns +2 lo for + 3 sn s +7 Show that cx = + cos(k!) + cos(k), k = 0,1...,9. a) Clearly show how you get to this result! b) Given that cos(") = }(V5+1), cos(9= :(V5 - 1), cos(9) = -(V5 – 1) and cos(99) = -(V5+1), calculate Co. MacBook Pro
Hello, I'm taking signal systems course. please solve this
question in matlab as soon as possbile please.
Question 1 a) Write a function that calculates the Continuous Time Fourier Transform of a periodic signal x() Syntax: [w, X] = CTFT(t, x) The outputs to the function are: w = the frequencies in rad/s, and X = the continuous Fourier transform of the signal The inputs to the function are: x-one period of the signal x(t), andt the time vector The...
Please explain why. Thank you.
(5%) The following signals r t) is sanpled periodically to obtained the discrete-time signal [n. For each of the given sampling rates in F, Hz or in T period, (i) determine the spectrum x(eM) of x[n]; (ii) plot its magnitude and phase as a function of w in and as a function of sampling frequency Fs in HZ; and (iii explain whether e(t) can be recovered from rn] (a) re(t) 8 +12e-3207e-j0(+), with sampling rate...
Find the discrete-time Fourier transform of the signal x[n]
given below.
Is – uļng-u= [u]a
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